ASYMPTOTIC FORMULAS FOR CLASS NUMBER SUMS OF INDEFINITE BINARY QUADRATIC FORMS ON ARITHMETIC PROGRESSIONS

DOI10.1142/S1793042112501230zbMath1305.11027arXiv1003.3716OpenAlexW2963616349MaRDI QIDQ4904410

Yasufumi Hashimoto

Publication date: 29 January 2013

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.3716

zbMATH Keywords

arithmetic progressionscongruence subgroupsprime geodesic theoremclass number of indefinite binary quadratic form

Mathematics Subject Classification ID

Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Class numbers of quadratic and Hermitian forms (11E41)

Related Items

Asymptotic behaviors of class number sums associated with Pell-type equations ⋮ The Selberg trace formula as a Dirichlet series ⋮ Limit distribution of class numbers for discriminants in progressions and fundamental discriminants

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